Combine water, sugar, and rosemary leaves in a small saucepan. Bring to a boil, stirring until sugar dissolves. Reduce heat to low; let simmer for 1 minute. Remove from heat and let syrup steep, about 30 minutes.
Strain syrup into a sterilized glass jar. Cover and refrigerate until completely chilled, at least 20 minutes.
Drop sorbet into the bottom of a champagne flute. Pour 1 fluid ounce rosemary syrup and gin on top. Pour in Prosecco very slowly so that it does not overflow. Garnish with 1 cranberry and sprig of rosemary.
Cranberry or lemon sorbet may be used in place of the raspberry sorbet.
Nutrition data for this recipe includes the full amount of simple syrup. The actual amount of simple syrup consumed will vary.
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